• DocumentCode
    997716
  • Title

    Parameterization of Suboptimal Solutions of the Nehari Problem for Infinite-Dimensional Systems

  • Author

    Kashima, Kenji ; Yamamoto, Yutaka ; Özbay, Hitay

  • Author_Institution
    Tokyo Inst. of Technol., Tokyo
  • Volume
    52
  • Issue
    12
  • fYear
    2007
  • Firstpage
    2369
  • Lastpage
    2374
  • Abstract
    The Nehari problem plays an important role in Hinfin control theory. It is well known that Hinfin control problem can be reduced to solving this problem. This note gives a parameterization of all suboptimal solutions of the Nehari problem for a class of infinite-dimensional systems. Many earlier solutions of this problem are seen to be special cases of this new parameterization. It is also shown that for finite impulse response systems this parameterization takes a particularly simple form.
  • Keywords
    Hinfin control; multidimensional systems; suboptimal control; Hinfin control theory; Nehari problem; finite impulse response systems; infinite-dimensional systems; suboptimal solution parameterization; Conformal mapping; Contracts; Control theory; Educational technology; Finite impulse response filter; Informatics; Information science; Riccati equations; Space technology; State-space methods; $H^{infty}$-control; Delay systems; Nehari problem; infinite-dimensional systems;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.2007.910725
  • Filename
    4395179
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=997716